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5334796824 = 2337232296029
BaseRepresentation
bin1001111011111101…
…01000101000011000
3111202210100202110120
410331332220220120
541411201444244
62241211113240
7246126011340
oct47576505030
914683322416
105334796824
1122983988a5
12104a742820
13670320b16
14388731d20
1521353a819
hex13dfa8a18

5334796824 has 128 divisors (see below), whose sum is σ = 15977088000. Its totient is φ = 1451349504.

The previous prime is 5334796807. The next prime is 5334796829. The reversal of 5334796824 is 4286974335.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334796829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881842 + ... + 887870.

It is an arithmetic number, because the mean of its divisors is an integer number (124821000).

Almost surely, 25334796824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5334796824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988544000).

5334796824 is an abundant number, since it is smaller than the sum of its proper divisors (10642291176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5334796824 is a wasteful number, since it uses less digits than its factorization.

5334796824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6293 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 5334796824 is about 73039.6934823798. The cubic root of 5334796824 is about 1747.3207244644.

The spelling of 5334796824 in words is "five billion, three hundred thirty-four million, seven hundred ninety-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 229 276 322 458 483 552 644 687 916 966 1288 1374 1603 1832 1932 2748 3206 3864 4809 5267 5496 6029 6412 9618 10534 12058 12824 15801 18087 19236 21068 24116 31602 36174 36869 38472 42136 42203 48232 63204 72348 73738 84406 110607 126408 126609 138667 144696 147476 168812 221214 253218 277334 294952 337624 416001 442428 506436 554668 832002 884856 970669 1012872 1109336 1380641 1664004 1941338 2761282 2912007 3328008 3882676 4141923 5522564 5824014 7765352 8283846 9664487 11045128 11648028 16567692 19328974 23296056 28993461 31754743 33135384 38657948 57986922 63509486 77315896 95264229 115973844 127018972 190528458 222283201 231947688 254037944 381056916 444566402 666849603 762113832 889132804 1333699206 1778265608 2667398412 5334796824